几何
三角形、圆、解析几何与证明题。
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unit: geometry progress question id: 192072 the movement of the progres…
10.5
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find rt. write your answer as an integer or as a decimal rounded to the…
$4.1$
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$m\\angle xyz = 130^\\circ$. what is $m\\angle wyx$? $(6x - 4)^\\circ$ …
$\boldsymbol{56^\circ}$ (Option B. 56°)
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two lines are intersected by a third line. if $angle 2 cong angle 6$, w…
$\boldsymbol{\angle 2}$ is supplementary to $\boldsymbol{\angle 8}$.
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$\\triangle abc$ has vertices $a(3, -5)$, $b(1, -4)$, and $c(4, -2)$. w…
D. The graph with points $A''$ in the lower left, $B''$ near the lower middle, and $C''$ in the upper left of the grid
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points a, b, and c are on line ac. angle cbd has a measure of 140°. wha…
A. $40^\circ$
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find wx. write your answer as an integer or as a decimal rounded to the…
$6.1$ (or $6$ if rounding to integer)
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figure lmno is a parallelogram. angles l and m are supplementary. what …
$180$
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find the volume of a cube with a side length of 9 centimeters. the volu…
729
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angles a and b are complementary. what is the value of x? 34 56 68 79 $…
34
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angle b measures $60^\\circ$. what is the measure of the angle that is …
30°
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mn is the midsegment of qrs. solve for x and mn. $qs = 3x + 5$ $mn = 2x…
$x = 7$ $MN = 13$
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proving the congruent supplements theorem given: $angle 1$ and $angle 2…
1. First blank: supplementary 2. Second blank: 3 and 2 3. Third blank: transitive (equality) 4. Fourth blank: 2 Full completed proof: By the definition of **supplementary** angles…
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$\\angle fbc$ and $\\angle cbg$ are supplements, $\\angle dbg$ and $\\a…
$\boldsymbol{\angle FBC \cong \angle DBG}$ (Option B)
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justifying a statement based on the diagram, which reason justifies thi…
Complements of the same angle are congruent.
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find gh. write your answer as an integer or as a decimal rounded to the…
$5.9$
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consider parallelogram wxyz below. note that wxyz has vertices $w(2, -7…
s: (a) Length of $\overline{XY}$: $\sqrt{89}$ Length of side adjacent to $\overline{XY}$: $\sqrt{89}$ (b) Slope of $\overline{XY}$: $\frac{8}{5}$ Slope of side adjacent to $\overl…
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find vx. write your answer as an integer or as a decimal rounded to the…
$4.4$
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determining angle measures let $m\\angle a = 40^\\circ$. if $\\angle b$…
$m\angle B = 50^\circ$ $m\angle C = 130^\circ$
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finding an angle measure what is the measure of $angle cbe$ $circ$ $36^…
72°
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find hj. write your answer as an integer or as a decimal rounded to the…
3.9
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consider parallelogram wxyz below. note that wxyz has vertices $w(-2, 6…
(a) Length of $\overline{YZ}$: $3\sqrt{13}$ Length of side adjacent to $\overline{YZ}$: $\sqrt{13}$ (b) Slope of $\overline{YZ}$: $\frac{3}{2}$ Slope of side adjacent to $\overlin…
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the statement of the progress bar may be uneven because questions can b…
- Figure with endpoints L and M ↔ A finite section of a line between any two points that lie on the line - Figure with points I, M / N, O ↔ A two-dimensional surface that continue…
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consider parallelogram $jklm$ below. note that $jklm$ has vertices $j(-…
(a) Slope of $\overline{KL}$: $\frac{4}{5}$ Slope of side adjacent to $\overline{KL}$: $\frac{5}{4}$ (b) Length of $\overline{KL}$: $\sqrt{41}$ Length of side adjacent to $\overli…
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question id: 109879 progress: the movement of the progress bar may be u…
5.3 feet
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determining angle relationships in a diagram which statements are true …
- $\angle GNH$ and $\angle HNJ$ are complementary. - $\angle KNL$ and $\angle LNM$ are complementary. - $m\angle HNK + m\angle KNL = 180^\circ$
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identifying angle pair relationships use the diagram to identify the sp…
∠ADC and ∠BDC are **supplementary angles** A pair of complementary angles is angles **∠ACD and ∠BCD**
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topic: circles progress: the movement of the progress bar may be uneven…
42 square feet
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select the correct answer. can triangle a be mapped onto triangle b usi…
C. Triangle A can be mapped onto triangle B by reflecting triangle A.
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practice solving problems involving complementary and supplementary ang…
∠4 and ∠3, ∠4 and ∠5, ∠3 and ∠6
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the circle below has center p. the point $(x, y)$ is on the circle as s…
### Part (a) Center: \((6, 8)\) Radius: \(4\) units Value of \(a\): \(x - 6\) Value of \(b\): \(y - 8\) ### Part (b) \( (x-6)^2 + (y-8)^2 = 4^2 \)
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find the area of the figure below, formed from a triangle and a paralle…
32 square millimeters
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1. type the correct answer in each box. spell all words correctly, and …
The value of x is 11, and the value of y is 8. $\Delta ABC$ and $\Delta FDE$ are congruent by the SSS criterion.
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explanation review find bc. in triangle abc, angle c is a right angle, …
$\approx 3.95$ (rounded to two decimal places)
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determine whether a triangle with the given vertices is a right triangl…
(a) Right triangle (b) Right triangle (c) Not a right triangle
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question id: 1192057 topic: triangles progress the assessment of the pr…
2.03125
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use the number line to find the indicated distance. 12. jk 13. kl 14. l…
12. $JK = 5$ 13. $KL = 4$ 14. $LM = 6$ 15. $JL = 9$ 16. $JM = 15$ 17. $KM = 10$
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determine whether a triangle with the given vertices is a right triangl…
(a) Right triangle (b) Not a right triangle (c) Not a right triangle
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find the missing information for both parts below. (a) in the figure be…
(a) $m\overset{\frown}{AB} = 59^\circ$ (b) $m\angle PSR = 105^\circ$
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topic: quadrilaterals progress question id: 1186459 the movement of the…
$83$
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determine whether a triangle with the given vertices is a right triangl…
(a) Right triangle (b) Not a right triangle (c) Right triangle
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find fg. write your answer as an integer or as a decimal rounded to the…
6.3
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learn with an example or watch a video find df. write your answer as an…
$6.7$
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what is the measure of angle x? what is the measure of angle y? what is…
Measure of angle x: $74^\circ$ Measure of angle y: $74^\circ$ Measure of angle z: $106^\circ$
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3. which equation can be used to find the value of x? $(6x + 4)+(9x - 7…
A. $(6x + 4) + (9x - 7) = 180$
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think about the process the length of a rectangle is twice the width. t…
A. Estimate $\sqrt{44}$ ---
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1. which vocabulary term best represents the given angles? alternate in…
B. vertical angles $x=22$
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graph the image of rectangle jklm after a reflection over the y-axis.
The reflected rectangle $J'K'L'M'$ has vertices at $(-3,5)$, $(-6,5)$, $(-6,9)$, $(-3,9)$. When plotted and connected, this forms the mirror image of the original rectangle across…
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practice with trigonometric ratios sp 26 for angle a, $cos(a) = \\frac{…
24 and 26
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practice with trigonometric ratios sp 26 for angle a, $\tan(a)=\\frac{5…
All of the above
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ok, this ones tough. a and b are the legs. c is the hypotenuse. so whic…
$6^2+?^2 = 12^2$ (the first option)
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practice with trigonometric ratios sp 26 for angle a, $cos(a) = \\frac{…
The hypotenuse
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you have 6 clay pots that you want to display in order from shortest to…
C. 1.2 in, $\sqrt{3}$ in, 1.8 in, $2\frac{1}{3}$ in, 2.4 in, $\sqrt{8}$ in
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error analysis: your math class is comparing $sqrt{11}$ and 5.1. your f…
The correct comparison is $\boldsymbol{\sqrt{11} < 5.1}$. Your friend likely confused $\sqrt{11}$ with $\sqrt{30.25}$ (which equals 5.1's incorrect claimed value of 5.5), or incor…
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practice with trigonometric ratios sp 26 true or false $cos(b)=\\frac{3…
False
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practice with trigonometric ratios sp 26 true or false $\tan(b)=\\frac{…
True
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homework mon feb 9, due tue feb 10 1. find the value of x. x = ________…
1. $x = 20$ 2. $x = 8$, $y = 25$ 3. $\angle a$ and $\angle c$ (or $\angle b$ and $\angle d$) 4. $\angle a$ and $\angle d$ (or $\angle a$ and $\angle b$, $\angle b$ and $\angle c$,…
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practice with trigonometric ratios sp 26 true or false. $sin(b) = \\fra…
False
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writing locate $-sqrt{6}$ to the nearest tenth on a number line. use pe…
1. The tick mark closest to $-\sqrt{6}$ is $-2.5$. 2. Using a decimal estimate is better because number lines are marked with decimal/ integer tick marks, so the decimal estimate …
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practice with trigonometric ratios sp 26 true or false $\tan(a) = \\fra…
True
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rotations of shapes name _______________ date ________ period____ graph…
1. Transformed vertices: $K'(5,-1)$, $H'(3,2)$, $O'(0,0)$ (plot and connect these points) 2. Transformed vertices: $S'(-2,2)$, $T'(-4,4)$, $L'(0,5)$ (plot and connect these points…
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practice with trigonometric ratios sp 26 true or false. $cos(a) = \\fra…
False
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practice with trigonometric ratios sp 26 true or false. $sin(a)=\\frac{…
True
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practice with trigonometric ratios sp 26 fill in the blank. express you…
$\frac{12}{13}$
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the radius of a circle is 7 cm. find its circumference in terms of $pi$…
$14\pi$
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solve for $x$. round to the nearest tenth, if necessary.
$4.5$
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18 multiple choice 6 points if $m\\angle x = 34^\\circ$ and $m\\angle z…
m∠Y = 120°
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part a domain $-5,4$ part b range $-3,3$ part c first interval of decre…
First Interval of Increase: $(-5,-3)$ Second Interval of Increase: $(0,3)$
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a right triangle has legs with measures of 15 in and 20 in. find the le…
25.0 in
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graph the image of $\triangle klm$ after a reflection over the x-axis.
The reflected triangle $\Delta K'L'M'$ has vertices at $K'(2, 9)$, $L'(2, 2)$, and $M'(-7, 6)$ (plotted and connected on the coordinate grid).
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17 multiple choice 6 points $(5k - 3)^\\circ$ $(9 + k)^\\circ$ what is …
k = 29
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practice with trigonometric ratios sp 26 fill in the blank. express you…
$\frac{5}{13}$
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16 multiple choice 6 points what is the value of x? $x=23$ $x=35$ $x=58…
x = 93
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critical thinking tell whether the polygons are always, sometimes, or n…
Sometimes Similar
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practice with trigonometric ratios sp 26 fill in the blank. express you…
$\frac{8}{15}$
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maintain accuracy figures a and b are similar. figure a has a perimeter…
8
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15 multiple choice 6 points two parallel lines are crossed by a transve…
118.2° (the third option: 118.2°)
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structure in the diagram, $jklm\\sim efgh$. find the ratio of the perim…
$20:11$
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practice with trigonometric ratios sp 26 fill in the blank. express you…
$\frac{12}{35}$
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14 multiple choice 6 points abcd is a square. what is the length of lin…
13 units
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modeling real life your family decides to put a rectangular patio in yo…
Backyard perimeter: 130 feet Patio perimeter: 52 feet
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determine if the two lines are parallel, perpendicular, or neither. exp…
neither, since the slopes are neither equal nor opposite reciprocals
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critical thinking tell whether the polygons are always, sometimes, or n…
Always Similar
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practice with trigonometric ratios sp 26 fill in the blank. express you…
$\frac{35}{37}$
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13 multiple choice 6 points determine the type of triangle that is draw…
Isosceles Acute
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the triangles are similar. identify the type of segment shown by the da…
D. Median $y = 9$
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find the distance between (2a , c) and (3a , c). distance = dist
$|a|$ (or $a$ if $a\geq0$)
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practice with trigonometric ratios sp 26 fill in the blank. express you…
$\frac{35}{37}$
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two polygons are similar. the perimeter of the larger polygon is 85 met…
34 meters
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use the figure below to select the true statement.$angle bec$ is an ext…
∠DEC is an exterior angle.
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critical thinking tell whether the polygons are always, sometimes, or n…
Never Similar
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decide whether the red and blue polygons are similar. the polygons are …
The polygons are not similar.
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11 multiple choice 5 points find the equation of a line parallel to $y …
y = 3x - 9
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two polygons are similar. the perimeter of the smaller polygon is 66 fe…
88
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graph the image of $\triangle stu$ after a reflection over the $x$-axis.
The vertices of the reflected triangle are $S'(5, 10)$, $T'(8, 10)$, $U'(8, 5)$. When plotted and connected, this forms the image of $\triangle STU$ reflected over the x-axis.
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10 multiple choice 5 points which statement proves that $\\triangle xyz…
The slope of XZ is $\frac{3}{4}$, the slope of XY is $-\frac{4}{3}$, and $XZ = XY = 5$.
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9 multiple choice. 6 points given $m \\parallel n$, find the value of $…
B. 40
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the polygons are similar. find the value of $x$. $x = \\square$
20
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practice with trigonometric ratios sp 26 fill in the blank. express you…
$\frac{35}{37}$
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structure rectangle a is similar to rectangle b. rectangle a has side l…
9, 24